Skip to Main content Skip to Navigation
Journal articles

The Uniform geometrical Theory of Diffraction for elastodynamics: Plane wave scattering from a half-plane

Abstract : Diffraction phenomena studied in electromagnetism, acoustics, and elastodynamics are often modeled using integrals, such as the well-known Sommerfeld integral. The far field asymptotic evaluation of such integrals obtained using the method of steepest descent leads to the classical Geometrical Theory of Diffraction (GTD). It is well known that the method of steepest descent is inapplicable when the integrand's stationary phase point coalesces with its pole, explaining why GTD fails in zones where edge diffracted waves interfere with incident or reflected waves. To overcome this drawback, the Uniform geometrical Theory of Diffraction (UTD) has been developed previously in electromagnetism, based on a ray theory, which is particularly easy to implement. In this paper, UTD is developed for the canonical elastodynamic problem of the scattering of a plane wave by a half-plane. UTD is then compared to another uniform extension of GTD, the Uniform Asymptotic Theory (UAT) of diffraction, based on a more cumbersome ray theory. A good agreement between the two methods is obtained in the far field.
Complete list of metadatas

Cited literature [31 references]  Display  Hide  Download

https://hal-cea.archives-ouvertes.fr/cea-01753219
Contributor : Léna Le Roy <>
Submitted on : Monday, January 7, 2019 - 1:43:45 PM
Last modification on : Monday, February 10, 2020 - 6:13:47 PM
Long-term archiving on: : Monday, April 8, 2019 - 3:13:59 PM

File

kamtadjakou2015.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

A. K. Djakou, A. Darmon, L. Fradkin, C. Potel. The Uniform geometrical Theory of Diffraction for elastodynamics: Plane wave scattering from a half-plane. Journal of the Acoustical Society of America, Acoustical Society of America, 2015, 138, pp.3272-3281. ⟨10.1121/1.4935020⟩. ⟨cea-01753219⟩

Share

Metrics

Record views

196

Files downloads

622